Vacuum the headliner making sure you apply pressure, but not too much. Not only can you set the stains in this way, you may tear what can be very fragile upholstery if you press too hard. Vacuum thoroughly to make sure that you get all of the loose dust fragments

Spot cleaning can be done without leaving rings on fabrics, carpet and velour. Use Dr Joe dedicated Lint-Free 100% Cotton Blue Huck Surgical Towels, using very light pressure and wipe the headliner following the cleaning with the water based cleaner (do not soak or use hot water on the headliner fabric as it may delaminate) Dry by blotting with a clean, dry surgical huck towel

I usually mist a little bit of the 303 Cleaner & Spot Remover on it (careful not to have any cleaner come back down and get in your eyes). Then agitate it lightly with a microfiber towel (clean) or a soft brush. Good luck!